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Finding the Fourth Proportional to 9,498.48, 14,232.36 and 5,382

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Solution

The fourth proportional to 9,498.48, 14,232.36 and 5,382 is: 8,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.48 : 14,232.36 = 5,382 : x
  2. Step 2: Convert to fraction form
    9,498.48/14,232.36 = 5,382/x
  3. Step 3: Cross multiply
    9,498.48x = 14,232.36 × 5,382
  4. Step 4: Simplify right side
    9,498.48x = 76,598,561.52
  5. Step 5: Solve for x
    x = 76,598,561.52/9,498.48
  6. Step 6: Final answer
    x = 8,064.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.